This paper investigates the mathematical modelling of groundwater level variations and the transport of salt concentration within porous media. The filtration behaviour of groundwater is described based on the Dupuit–Forchheimer assumption, while the governing equation for groundwater level dynamics is derived from the law of mass conservation, resulting in a nonlinear differential equation of the Boussinesq type. In addition, the migration of dissolved salts within the porous medium is represented through a convection–diffusion equation. During the salt transport process, the filtration velocity is determined by the groundwater discharge, and the interdependence between groundwater level and salt concentration is incorporated into the formulation. As a result, a coupled mathematical model describing both groundwater level fluctuations and salt concentration dynamics has been developed. Appropriate initial and boundary conditions are specified for the proposed model, and the physical interpretation of the governing processes is discussed. The developed model provides a framework for analysing the hydrodynamic regime of groundwater and the spatial–temporal distribution patterns of salt transport in porous media. Furthermore, the proposed approach can be applied to evaluate groundwater level changes in irrigated regions, to predict soil salinisation processes, and to support the rational management of water resources.
| Mualliflar | Daliev , Sherzod |
|---|---|
| Jurnal | Techscience.uz - техника фанлари долзарб масалалри |
| Nashr sanasi | 2026-04-25 |
| Jild | 4 |
| Son | 4 |
| Betlar | 42-52 |
| Til | O‘zbek |
| DOI | 10.47390/ts-v4i4y2026n06 |
DOI: 10.47390/ts-v4i4y2026n06 · Maqolaning asl sahifasi
groundwater, groundwater level dynamics, mathematical modelling, filtration processes, analytical solution., sizot suvlari, yer osti suvlari sathi, matematik modellashtirish, filtratsiya jarayoni, analitik yechim.
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